So far, it appears that there's no momentum to allow additional playoff roster moves (unless, perhaps, of injury). There does seem to be an early consensus for allowing the trade of the next year's draft picks on draft day.
As for the other topic at hand, I'd rather not allow the trade of next year's draft picks on draft day. This is a case, where system we have in place has been working well. What's the argument for?
For: It's fairly arbitrary to not allow the following year's draft picks on draft day, but to allow them the day following the draft. The rule doesn't really serve any purpose, rather than to restrict people from maximizing their trading assets during one of the biggest trading windows of the year.
Let's say there's a lotto team that ends up with the #3 pick in the draft. That #3 pick might not be enough to land a star caliber player from a contender. However, allow that GM to package that #3 pick with a pick next year, and all of a sudden they're potentially able to land a player who can help turn their team around quickly.
Also, of course, it allows teams that have traded their #1 away to be active on draft day. The last couple years, numerous GMs have essentially been non-participants in the draft, because they didn't have picks. Having the following year's picks available would remedy that by allowing people to make speculative moves.
My thought is that if a GM is still in control of their team on draft day and actively wishes to make trades, then the risk of a Ted Stepian situation is essentially nil; what GM is going to actively participate in the draft, but then suddenly give up his team? And again, I reiterate that current rules allow that same GM to trade his #1 pick the day after the draft; he's just not allowed to use it when it's actually useful to him.